Title
White noise analysis on a new space of Hida distributions
Document Type
Article
Publication Date
1-1-1999
Abstract
Let {a(n); n ≥ 0} be a sequence of positive numbers satisfying certain conditions. A Gel'fand triple [ε]a ⊂ L2(ε′) C [ε]*a associated with the sequence {a(n); n ≥ 0} has been introduced on a white noise space (ε′, μ) by Cochran, Kuo and Sengupta. In this paper we obtain additional conditions on the sequence {a(n); n ≥ 0} in order to carry out white noise distribution theory on the space (ε′, μ). Moreover, we show that the Bell numbers satisfy these additional conditions.
Publication Source (Journal or Book title)
Infinite Dimensional Analysis, Quantum Probability and Related Topics
First Page
315
Last Page
335
Recommended Citation
Kubo, I., Kuo, H., & Sengupta, A. (1999). White noise analysis on a new space of Hida distributions. Infinite Dimensional Analysis, Quantum Probability and Related Topics, 2 (3), 315-335. https://doi.org/10.1142/S0219025799000199